10-327/Classnotes for Thursday October 14 - Revision history

Xwbdsb: /* Solutions */

2010-10-29T00:43:48Z

Solutions

← Older revision		Revision as of 20:43, 28 October 2010
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	=== Solutions ===		=== Solutions ===
	4 Solutions to problems in Munkre's book regard to Metrics and Metric topology. -Kai [[User:Xwbdsb\|Xwbdsb]] 16:47, 28 October 2010 (EDT)		4 Solutions to problems in Munkre's book regard to Metrics and Metric topology. -Kai [[User:Xwbdsb\|Xwbdsb]] 16:47, 28 October 2010 (EDT)

			[http://katlas.math.toronto.edu/drorbn/images/e/ef/10-327metric_exercise1.jpg page1]
			[http://katlas.math.toronto.edu/drorbn/images/c/c0/10-327metric_exercise2.jpg page2]
			[http://katlas.math.toronto.edu/drorbn/images/8/82/10-327metric_exercise3.jpg page3]
			[http://katlas.math.toronto.edu/drorbn/images/e/ec/10-327metric_exercise4.jpg page4]
			[http://katlas.math.toronto.edu/drorbn/images/8/8e/10-327metric_exercise5.jpg page5]

2010-10-28T20:47:41Z

Almost Disjoint Subsets

← Older revision		Revision as of 16:47, 28 October 2010
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	*I wasn't there for this riddle but it sounded interesting, though I might have the phrasing wrong - John.		*I wasn't there for this riddle but it sounded interesting, though I might have the phrasing wrong - John.
	* Feel free to cheat and use the axiom of choice - I don't see how it would help anyway. [[User:Drorbn\|Drorbn]] 17:40, 18 October 2010 (EDT)		* Feel free to cheat and use the axiom of choice - I don't see how it would help anyway. [[User:Drorbn\|Drorbn]] 17:40, 18 October 2010 (EDT)

			=== Solutions ===
			4 Solutions to problems in Munkre's book regard to Metrics and Metric topology. -Kai [[User:Xwbdsb\|Xwbdsb]] 16:47, 28 October 2010 (EDT)

2010-10-19T23:44:26Z

← Older revision		Revision as of 19:44, 19 October 2010
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	===Almost Disjoint Subsets===		===Almost Disjoint Subsets===
	Find an uncountable collection of subsets of <math>\mathbb{N}</math> such that any two subsets only contain a finite number of points in their intersection. Don't cheat by using the axiom of choice!		Find an uncountable collection of subsets of <math>\mathbb{N}</math> such that any two subsets only contain a finite number of points in their intersection. Don't cheat by using the axiom of choice!

			[[10-327/Solution to Almost Disjoint Subsets]]

	*I wasn't there for this riddle but it sounded interesting, though I might have the phrasing wrong - John.		*I wasn't there for this riddle but it sounded interesting, though I might have the phrasing wrong - John.
	* Feel free to cheat and use the axiom of choice - I don't see how it would help anyway. [[User:Drorbn\|Drorbn]] 17:40, 18 October 2010 (EDT)		* Feel free to cheat and use the axiom of choice - I don't see how it would help anyway. [[User:Drorbn\|Drorbn]] 17:40, 18 October 2010 (EDT)

2010-10-18T21:40:43Z

Almost Disjoint Subsets

← Older revision		Revision as of 17:40, 18 October 2010
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	Find an uncountable collection of subsets of <math>\mathbb{N}</math> such that any two subsets only contain a finite number of points in their intersection. Don't cheat by using the axiom of choice!		Find an uncountable collection of subsets of <math>\mathbb{N}</math> such that any two subsets only contain a finite number of points in their intersection. Don't cheat by using the axiom of choice!
	*I wasn't there for this riddle but it sounded interesting, though I might have the phrasing wrong - John.		*I wasn't there for this riddle but it sounded interesting, though I might have the phrasing wrong - John.
			* Feel free to cheat and use the axiom of choice - I don't see how it would help anyway. [[User:Drorbn\|Drorbn]] 17:40, 18 October 2010 (EDT)

2010-10-18T21:11:40Z

← Older revision		Revision as of 17:11, 18 October 2010
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	===Almost Disjoint Subsets===		===Almost Disjoint Subsets===
	Find an uncountable collection of subsets of <math>\mathbb{N}</math> such that any two subsets only contain a finite number of points in their intersection. Don't cheat ~~and~~ ~~use~~ the axiom of choice!		Find an uncountable collection of subsets of <math>\mathbb{N}</math> such that any two subsets only contain a finite number of points in their intersection. Don't cheat by using the axiom of choice!
	*I wasn't there for this riddle but it sounded interesting, though I might have the phrasing wrong - John.		*I wasn't there for this riddle but it sounded interesting, though I might have the phrasing wrong - John.

2010-10-18T21:10:23Z

← Older revision		Revision as of 17:10, 18 October 2010
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	[http://katlas.math.toronto.edu/drorbn/images/9/97/10-327-lec09p06.jpg Lecture 9 page 6]		[http://katlas.math.toronto.edu/drorbn/images/9/97/10-327-lec09p06.jpg Lecture 9 page 6]

			==Riddles==
			===The Dice Game===
			Two players A and B decide to play a game.
			Player A takes 3 blank dice and labels them with the numbers 1-18.
			Player B then picks one of the three die.
			Then Player A picks one of the remaining two die.
			The players then roll their dice, and the highest number wins the round.
			They play 10,023 rounds.
			Who would you rather be Player A or B?

			===Almost Disjoint Subsets===
			Find an uncountable collection of subsets of <math>\mathbb{N}</math> such that any two subsets only contain a finite number of points in their intersection. Don't cheat and use the axiom of choice!
			*I wasn't there for this riddle but it sounded interesting, though I might have the phrasing wrong - John.

2010-10-15T00:15:25Z

← Older revision		Revision as of 20:15, 14 October 2010
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	{{Template:10-327:Dror/Students Divider}}		{{Template:10-327:Dror/Students Divider}}

			Here are some lecture notes..

			[http://katlas.math.toronto.edu/drorbn/images/5/51/10-327-lec09p01.jpg Lecture 9 page 1]

			[http://katlas.math.toronto.edu/drorbn/images/7/76/10-327-lec09p02.jpg Lecture 9 page 2]

			[http://katlas.math.toronto.edu/drorbn/images/e/e3/10-327-lec09p03.jpg Lecture 9 page 3]

			[http://katlas.math.toronto.edu/drorbn/images/9/95/10-327-lec09p04.jpg Lecture 9 page 4]

			[http://katlas.math.toronto.edu/drorbn/images/8/84/10-327-lec09p05.jpg Lecture 9 page 5]

			[http://katlas.math.toronto.edu/drorbn/images/9/97/10-327-lec09p06.jpg Lecture 9 page 6]

2010-10-14T21:04:22Z

New page

{{10-327/Navigation}}

See some blackboard shots at {{BBS Link|10_327-101014-142707.jpg}}.

{{Template:10-327:Dror/Students Divider}}